Some research areas related to spaces include: 1. Topology: The study of mathematical properties that are preserved under continuous deformations, such as stretching and bending, of objects and spaces. 2. Geometry: The study of the shape, size, and properties of spaces, including Euclidean geometry, non-Euclidean geometry, and differential geometry. 3. Spatial analysis: The study of spatial patterns, relationships, and processes using statistical and computational methods to analyze geographic data. 4. Urban planning: The field that focuses on designing and organizing cities and regions to promote sustainable development, efficient transportation, and livable environments. 5. Architecture: The art and science of designing and constructing buildings and other physical structures, often considering spatial relationships, aesthetics, and functionality.